example of Banach space needed



Can you suggest me an example of
real infinite-dimensional Banach space
with a Schauder basis which admits
C^infinity partitions of unity?

Thanks, P.

--
Maarten Bergvelt
Mathematics Department, University of Illinois
Urbana-Champaign, IL 61801
Ph: 217-333-6326 email: bergv@xxxxxxxxxxxxx
.